In this paper, we build on the approach of Unger, Farrar, and Anchordoqui (UFA 2015, [1]}) and its elaboration in [2]}, to investigate constraints on UHECR sources which can be inferred from the latest multimessenger data, using a realistic but flexible UHECR source model with minimal reliance on any specific astrophysical scenario. We consider the effects of gas in the environment surrounding the source and the ability of UHECR sources to explain the highest energy astrophysical neutrinos. Earlier studies have also considered that UHECRs and astrophysical neutrinos may have a common origin both in the context of photodisintegration models, e.g. [3]}, [4]}, [5]}, for particular astrophysical scenarios [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, and to set an upper-bound on the flux of neutrinos produced by UHECRs [12]}. Like [1]}, [2]}, our description is agnostic to the acceleration process or specific astrophysical source type.
